Final answer:
The final velocity of a water bottle that falls 19.6 meters is calculated using the equation for free-falling objects v = √(2 * g * h), resulting in a final velocity of 19.6 m/s.
Step-by-step explanation:
The final velocity of a water bottle that drops and falls 19.6 m can be calculated using the physics equations of motion for free-falling objects. The equation v2 = u2 + 2as, where u is the initial velocity, v is the final velocity, a is the acceleration due to gravity (9.8 m/s2), and s is the displacement, would typically be used to find the final velocity. Since the initial velocity u = 0 (the bottle is dropped, not thrown), the formula simplifies to v2 = 2as. Solving for v gives us:
v = √(2 * 9.8 m/s2 * 19.6 m) = √(2 * 9.8 * 19.6) = √(384.16) = 19.6 m/s
Therefore, the final velocity of the water bottle when it hits the ground is 19.6 m/s.